@inproceedings{8dfd578dfff44133aab8317972ec180f,
title = "Twisted Hessian curves",
abstract = "This paper presents new speed records for arithmetic on a large family of elliptic curves with cofactor 3: specifically, 8.77Mper bit for 256-bit variable-base single-scalar multiplication when curve parameters are chosen properly. This is faster than the best results known for cofactor 1, showing for the first time that points of order 3 are useful for performance and narrowing the gap to the speeds of curves with cofactor 4.",
keywords = "Complete addition laws, Double-base chains, Efficiency, Elliptic-curve arithmetic, Fast arithmetic, Hessian curves",
author = "D.J. Bernstein and Chitchanok Chuengsatiansup and D. Kohel and T. Lange",
year = "2015",
doi = "10.1007/978-3-319-22174-8_15",
language = "English",
isbn = "978-3-319-22173-1",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "269--294",
editor = "K. Lauter and F. Rodr{\'i}guez-Henr{\'i}quez",
booktitle = "Progress in Cryptology - LATINCRYPT 2015 (4th International Conference on Cryptology and Information Security in Latin America, Guadalajara, Mexico, August 23-26, 2015)",
address = "Germany",
note = "4th International Conference on Cryptology and Information Security in Latin America (LATINCRYPT 2015), August 23-26, 2015, Guadalajara, Mexico, LATINCRYPT 2015 ; Conference date: 23-08-2015 Through 26-08-2015",
}